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Finding the Fourth Proportional to 2,037.42, 3,055.04 and 940.84

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Solution

The fourth proportional to 2,037.42, 3,055.04 and 940.84 is: 1,410.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037.42 : 3,055.04 = 940.84 : x
  2. Step 2: Convert to fraction form
    2,037.42/3,055.04 = 940.84/x
  3. Step 3: Cross multiply
    2,037.42x = 3,055.04 × 940.84
  4. Step 4: Simplify right side
    2,037.42x = 2,874,303.83
  5. Step 5: Solve for x
    x = 2,874,303.83/2,037.42
  6. Step 6: Final answer
    x = 1,410.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.